Answer
$a_{41}=-\dfrac{1}{82}$
Work Step by Step
Substituting $n=41$ in the expression $\dfrac{(-1)^n}{2n}$, then,
\begin{array}{l}
a_{41}=\dfrac{(-1)^{41}}{2(41)}\\\\
a_{41}=\dfrac{-1}{82}\\\\
a_{41}=-\dfrac{1}{82}
.\end{array}
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